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3D Dynamic Modelling of Spatial Geared Systems

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Abstract

In this paper, a nonlinearly dynamic model for a spatial geared systemwith intersecting-axes, which consists of bevel gears, bearings, andshafts, is proposed based on a specific finite element theory. A newtype of spatial gear element which is consistent with the specific finiteelement theory is developed and completely describes all thedeformations that exist for the spatial motions of a pair of bevel gears,the time-variant meshing stiffness, and various types of gear errors inmanufacturing and assembly. The 3D motions of the spatial geared systemin axial, lateral, and torsional directions are coupled in the model. Theproposed approach has been coded into a software system and a dynamicanalysis for the spatial geared system is carried out. The nonlinearinfluences of axial, lateral and torsional stiffnesses of the shaft onthe vibration of the spatial geared system are especially investigated.The lateral stiffness changes the resonance peak frequencies of thespatial geared system and the torsional stiffness greatly affects thesize of the dynamic load and vibration amplitude.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Shandong University, Jinan, 250061, P. R. China

    Y. Wang

  2. Department of MEEM, City University of Hong Kong, Kowloon, Hong Kong

    H. M. E. Cheung

  3. Department of Mechanical Engineering, University of Saskatchewan, 57 Campus Drive, Saskatoon, SK, S7N 5A9, Canada

    W. J. Zhang

Authors
  1. Y. Wang
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  2. H. M. E. Cheung
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  3. W. J. Zhang
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Wang, Y., Cheung, H.M.E. & Zhang, W.J. 3D Dynamic Modelling of Spatial Geared Systems. Nonlinear Dynamics 26, 371–391 (2001). https://doi.org/10.1023/A:1013361206009

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  • DOI: https://doi.org/10.1023/A:1013361206009

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